This uniqueness for \(g \in L^2(0,T)\)  can be proved by combining
Duhamel's principle and
the uniqueness result for initial boundary value problem for fractional
partial differential equation with \(f=0\) .
We can refer also to pp. 411-464 by Li, Liu and Yamamoto
in a handbook [1]},
Sakamoto and Yamamoto [2]}. In particular,
Jiang, Li, Liu and Yamamoto [3]}, which establishes the uniqueness
for the case of \(f=0\)  with non-symmetric \(A\) . Thus the uniqueness in the
inverse source problem of determining \(g\)  is classical within the caregory
of \(L^2(0,T)\) , and so we omit the proof.
